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Torsion Classes of Lattice-Ordered Groups with Invariant Radicals

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Ordered Algebraic Structures

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Abstract

In this paper, the natural valuation of an ℓ-group is used to construct all torsion classes with invariant radicals. This method also produces all quasitorsion classes with invariant radicals.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kansas, USA

    Paul F. Conrad

  2. Department of Mathematics and Computer Science, Indiana State University South Bend, USA

    Michael R. Darnel

Authors
  1. Paul F. Conrad
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  2. Michael R. Darnel
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Bowling Green State University, Bowling Green, Ohio, USA

    W. Charles Holland

  2. Caribbean Mathematics Foundation, Department of Mathematics, University of Florida, Gainesville, Florida, USA

    Jorge Martinez

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© 1997 Springer Science+Business Media Dordrecht

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Conrad, P.F., Darnel, M.R. (1997). Torsion Classes of Lattice-Ordered Groups with Invariant Radicals. In: Holland, W.C., Martinez, J. (eds) Ordered Algebraic Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5640-0_7

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  • DOI: https://doi.org/10.1007/978-94-011-5640-0_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6378-4

  • Online ISBN: 978-94-011-5640-0

  • eBook Packages: Springer Book Archive

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